Petition of landowners.

In the event there are no qualified voters residing within the territory proposed to be withdrawn, the petition for withdrawal may be signed by such persons as appear of record to own at least a majority of the acreage within such territory, in which event the petition shall also state the total number of acres and the names of all record owners of the land within such territory. The petition so signed shall be filed with the board of commissioners of the district, and after such filing no person having signed the same shall be allowed to withdraw that person's name.